Victor Vasil'evich Borisov () (31 October 1937 – 5 December 2013) was a Russian physicist and mathematician who contributed to the theory of wave motion, in particular to time domain electromagnetics and localized waves.
Under his guidance, Vladimir Smirnov's approach to solving the initial-boundary value problem to the hyperbolic partial differential equations (in particular, the wave equation)V.I. Smirnov, The solution to a problem with limits for the equation of waves in the case of the circle and the sphere. Dokl. Akad. Nauk SSSR [Comptes Rendus de l’Académie des Sciences de l'URSS], 14(1), 13–16 (1937). was developed into the spacetime triangle diagram (STTD) technique.
Victor Borisov's findings and ideas are summarized in two monographs edited by Leningrad State University.V.V. Borisov, Nonsteady-State Electromagnetic Waves. Leningrad: Leningrad State University Press (1987, in Russian).V.V. Borisov, Nonsteady-State Fields in Waveguides. Leningrad: Leningrad State University Press (1991, in Russian).
Particular discoveries 1970s Description of the essentially non-sinusoidal fields emanated by perfectly conducting sources at motion.V.V. Borisov, Electromagnetic-field of a rotating completely-conducting ball. Zhurnal Tekhnicheskoi Fiziki 45(11), 2257–2266 (1975), WOS:A1975AW87400001V.V. Borisov, Electromagnetic-field accompanying motion of an ideally conducting plate. Vestnik Leningradskogo Universiteta Seriya Fizika Khimiya 2, 71–74 (1976), WOS:A1976CB24300012.
1980 Transformation of electromagnetic signals at abrupt variation of medium properties,V.V. Borisov, Transformation of an electromagnetic signal in a sharp variation of medium properties with time. Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 23(12), 1495–1506 (1980), WOS:A1980LH40800013. including guiding systems.V.V. Borisov, Electromagnetic-fields in a cylindrical wave-guide filled by an ionized-gas moving with a constant velocity. Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 23(12), 1484–1494 (1980), WOS:A1980LH40800012.
1993 Characterization of electromagnetic fields accompanying propagation of spike pulses of hard radiation in media.V.V. Borisov & A.B. Utkin, Electromagnetic fields produced by the spike pulse of hard radiation. Journal of Physics A: Mathematical and General 26(16), 4081–4085 (1993), doi:10.1088/0305-4470/26/16/023.
1994 General modal solutions for subluminal and luminal sources distributed on a circle.V.V. Borisov & I.I. Simonenko, Transient waves generated by a source on a circle. Journal of Physics A: Mathematical and General 27(18), 6243–6252 (1994), doi:10.1088/0305-4470/27/18/032.
1994 Physically tenable models of generating finite-support, truncated focus wave modes in free space,V.V. Borisov & A.B. Utkin, On formation of focus wave modes. Journal of Physics A: Mathematical and General 27(7), 2587–2591 (1994), doi:10.1088/0305-4470/27/7/033 noncollisional plasma,V.V. Borisov & A.B. Utkin, Focus wave modes in noncollisional plasma. Canadian Journal of Physics 72(9–10), 647–650 (1994), doi:10.1139/p94-083 and conducting medium.V.V. Borisov & A.B. Utkin, Focus wave modes in conducting media. Canadian Journal of Physics 72(9–10), 725–730 (1994), doi:10.1139/p94-083
2000 Constructing a new class of relatively undistorted progressing waves.V.V. Borisov & A.P. Kiselev A new class of relatively undistorted progressing waves. Applied Mathematics Letters 13(4), 83–86 (2000), doi:10.1016/S0893-9659(99)00213-X.
2005 Description of several specific phenomena occurring in waves produced by a travelling source pulse with high-frequency filling.V.V. Borisov, N.M. Reutova, & A.B. Utkin, Electromagnetic waves produced by a travelling current pulse with high-frequency filling. Journal of Physics A: Mathematical and General, 38(10), 2225–2240 (2005), doi:10.1088/0305-4470/38/10/012.
References
External links Victor Borisov on Mathnet.ru